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Lateral Surface Area of Torus Sector given Volume and Major Radius Formula

GoLateral Surface Area of Torus Sector Formula

GoLateral Surface Area of Torus Sector given Total Surface Area Formula

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Lateral Surface Area of Torus Sector is the total quantity of two-dimensional plane enclosed on the lateral curved surface of the Torus Sector. Check FAQs

LSA Sector = (4 \cdot (π^{2}) \cdot (\frac{V Sector}{2 \cdot (π^{2}) \cdot ({r Circular Section}^{2}) \cdot (\frac{∠ Intersection}{2 \cdot π})}) \cdot (r Circular Section) \cdot (\frac{∠ Intersection}{2 \cdot π}))

LSA_Sector - Lateral Surface Area of Torus Sector?V_Sector - Volume of Torus Sector?r_{Circular Section} - Radius of Circular Section of Torus?∠_Intersection - Angle of Intersection of Torus Sector?π - Archimedes' constant?

Lateral Surface Area of Torus Sector given Volume and Major Radius Example

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Here is how the Lateral Surface Area of Torus Sector given Volume and Major Radius equation looks like with Values.

Here is how the Lateral Surface Area of Torus Sector given Volume and Major Radius equation looks like with Units.

Here is how the Lateral Surface Area of Torus Sector given Volume and Major Radius equation looks like.

262.5 = (4 \cdot ({3.1416}^{2}) \cdot (\frac{1050}{2 \cdot ({3.1416}^{2}) \cdot (8^{2}) \cdot (\frac{30}{2 \cdot 3.1416})}) \cdot (8) \cdot (\frac{30}{2 \cdot 3.1416}))

262.5m² = (4 \cdot ({3.1416}^{2}) \cdot (\frac{1050m³}{2 \cdot ({3.1416}^{2}) \cdot ({8m}^{2}) \cdot (\frac{30°}{2 \cdot 3.1416})}) \cdot (8m) \cdot (\frac{30°}{2 \cdot 3.1416}))

262.5 = (4 \cdot ({3.1416}^{2}) \cdot (\frac{1050}{2 \cdot ({3.1416}^{2}) \cdot (8^{2}) \cdot (\frac{30}{2 \cdot 3.1416})}) \cdot (8) \cdot (\frac{30}{2 \cdot 3.1416}))

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Lateral Surface Area of Torus Sector given Volume and Major Radius Solution

Follow our step by step solution on how to calculate Lateral Surface Area of Torus Sector given Volume and Major Radius?

FIRST Step Consider the formula

LSA Sector = (4 \cdot (π^{2}) \cdot (\frac{V Sector}{2 \cdot (π^{2}) \cdot ({r Circular Section}^{2}) \cdot (\frac{∠ Intersection}{2 \cdot π})}) \cdot (r Circular Section) \cdot (\frac{∠ Intersection}{2 \cdot π}))

Next Step Substitute values of Variables

∴

LSA Sector = (4 \cdot (π^{2}) \cdot (\frac{1050m³}{2 \cdot (π^{2}) \cdot ({8m}^{2}) \cdot (\frac{30°}{2 \cdot π})}) \cdot (8m) \cdot (\frac{30°}{2 \cdot π}))

Next Step Substitute values of Constants

∴

LSA Sector = (4 \cdot ({3.1416}^{2}) \cdot (\frac{1050m³}{2 \cdot ({3.1416}^{2}) \cdot ({8m}^{2}) \cdot (\frac{30°}{2 \cdot 3.1416})}) \cdot (8m) \cdot (\frac{30°}{2 \cdot 3.1416}))

Next Step Convert Units

∴

LSA Sector = (4 \cdot ({3.1416}^{2}) \cdot (\frac{1050m³}{2 \cdot ({3.1416}^{2}) \cdot ({8m}^{2}) \cdot (\frac{0.5236rad}{2 \cdot 3.1416})}) \cdot (8m) \cdot (\frac{0.5236rad}{2 \cdot 3.1416}))

Next Step Prepare to Evaluate

∴

LSA Sector = (4 \cdot ({3.1416}^{2}) \cdot (\frac{1050}{2 \cdot ({3.1416}^{2}) \cdot (8^{2}) \cdot (\frac{0.5236}{2 \cdot 3.1416})}) \cdot (8) \cdot (\frac{0.5236}{2 \cdot 3.1416}))

LAST Step Evaluate

∴

LSA Sector = 262.5m²

Lateral Surface Area of Torus Sector given Volume and Major Radius Formula Elements

Variables

Constants

Lateral Surface Area of Torus Sector

Lateral Surface Area of Torus Sector is the total quantity of two-dimensional plane enclosed on the lateral curved surface of the Torus Sector.

Symbol: LSA_Sector

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Torus Sector

Volume of Torus Sector

Volume of Torus Sector is the amount of three dimensional space occupied by Torus Sector.

Symbol: V_Sector

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Torus Sector

Radius of Circular Section of Torus

Radius of Circular Section of Torus is the line connecting the center of the circular cross section to any point on the circumference of the circular cross section of the Torus.

Symbol: r_{Circular Section}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Section of Torus

Angle of Intersection of Torus Sector

Angle of Intersection of Torus Sector is the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained.

Symbol: ∠_Intersection

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Angle of Intersection of Torus Sector

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Lateral Surface Area of Torus Sector

Go Lateral Surface Area of Torus Sector

LSA Sector = (4 \cdot (π^{2}) \cdot (r) \cdot (r Circular Section) \cdot (\frac{∠ Intersection}{2 \cdot π}))

Go Lateral Surface Area of Torus Sector given Total Surface Area

LSA Sector = (TSA Sector - (2 \cdot π \cdot ({r Circular Section}^{2})))

Go Lateral Surface Area of Torus Sector given Volume

LSA Sector = 2 \cdot (\frac{V Sector}{r Circular Section})

Go Lateral Surface Area of Torus Sector given Volume and Radius

LSA Sector = (4 \cdot (π^{2}) \cdot (r) \cdot (\sqrt{\frac{V Sector}{2 \cdot (π^{2}) \cdot (r) \cdot (\frac{∠ Intersection}{2 \cdot π})}}) \cdot (\frac{∠ Intersection}{2 \cdot π}))

How to Evaluate Lateral Surface Area of Torus Sector given Volume and Major Radius?

Lateral Surface Area of Torus Sector given Volume and Major Radius evaluator uses Lateral Surface Area of Torus Sector = (4*(pi^2)*(Volume of Torus Sector/(2*(pi^2)*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi))))*(Radius of Circular Section of Torus)*(Angle of Intersection of Torus Sector/(2*pi))) to evaluate the Lateral Surface Area of Torus Sector, Lateral Surface Area of Torus Sector given Volume and Major Radius formula is defined as the total quantity of two-dimensional plane enclosed on the lateral curved surface of the Torus, calculated using volume and major radius. Lateral Surface Area of Torus Sector is denoted by LSA_Sector symbol.

How to evaluate Lateral Surface Area of Torus Sector given Volume and Major Radius using this online evaluator? To use this online evaluator for Lateral Surface Area of Torus Sector given Volume and Major Radius, enter Volume of Torus Sector (V_Sector), Radius of Circular Section of Torus (r_{Circular Section}) & Angle of Intersection of Torus Sector (∠_Intersection) and hit the calculate button.

FAQs on Lateral Surface Area of Torus Sector given Volume and Major Radius

What is the formula to find Lateral Surface Area of Torus Sector given Volume and Major Radius?

The formula of Lateral Surface Area of Torus Sector given Volume and Major Radius is expressed as Lateral Surface Area of Torus Sector = (4*(pi^2)*(Volume of Torus Sector/(2*(pi^2)*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi))))*(Radius of Circular Section of Torus)*(Angle of Intersection of Torus Sector/(2*pi))). Here is an example- 262.5 = (4*(pi^2)*(1050/(2*(pi^2)*(8^2)*(0.5235987755982/(2*pi))))*(8)*(0.5235987755982/(2*pi))).

How to calculate Lateral Surface Area of Torus Sector given Volume and Major Radius?

With Volume of Torus Sector (V_Sector), Radius of Circular Section of Torus (r_{Circular Section}) & Angle of Intersection of Torus Sector (∠_Intersection) we can find Lateral Surface Area of Torus Sector given Volume and Major Radius using the formula - Lateral Surface Area of Torus Sector = (4*(pi^2)*(Volume of Torus Sector/(2*(pi^2)*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi))))*(Radius of Circular Section of Torus)*(Angle of Intersection of Torus Sector/(2*pi))). This formula also uses Archimedes' constant .

What are the other ways to Calculate Lateral Surface Area of Torus Sector?

Here are the different ways to Calculate Lateral Surface Area of Torus Sector-

Lateral Surface Area of Torus Sector=(4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)*(Angle of Intersection of Torus Sector/(2*pi)))
Lateral Surface Area of Torus Sector=(Total Surface Area of Torus Sector-(2*pi*(Radius of Circular Section of Torus^2)))
Lateral Surface Area of Torus Sector=2*(Volume of Torus Sector/(Radius of Circular Section of Torus))

Can the Lateral Surface Area of Torus Sector given Volume and Major Radius be negative?

No, the Lateral Surface Area of Torus Sector given Volume and Major Radius, measured in Area cannot be negative.

Which unit is used to measure Lateral Surface Area of Torus Sector given Volume and Major Radius?

Lateral Surface Area of Torus Sector given Volume and Major Radius is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Lateral Surface Area of Torus Sector given Volume and Major Radius can be measured.

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Lateral Surface Area of Torus Sector given Volume and Major Radius Formula

​GoLateral Surface Area of Torus Sector Formula

​GoLateral Surface Area of Torus Sector given Total Surface Area Formula

Lateral Surface Area of Torus Sector given Volume and Major Radius Example

Lateral Surface Area of Torus Sector given Volume and Major Radius Solution

Lateral Surface Area of Torus Sector given Volume and Major Radius Formula Elements

Other Formulas to find Lateral Surface Area of Torus Sector

How to Evaluate Lateral Surface Area of Torus Sector given Volume and Major Radius?

FAQs on Lateral Surface Area of Torus Sector given Volume and Major Radius

Variable Name

GoLateral Surface Area of Torus Sector Formula

GoLateral Surface Area of Torus Sector given Total Surface Area Formula